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542259201 = 311223107607
BaseRepresentation
bin100000010100100…
…011100000000001
31101210100121210010
4200110203200001
52102304243301
6125450255133
716303061421
oct4024434001
91353317703
10542259201
11259100400
121317274a9
1388460043
1452036481
15329145d6
hex20523801

542259201 has 48 divisors (see below), whose sum is σ = 838397952. Its totient is φ = 310902240.

The previous prime is 542259181. The next prime is 542259227. The reversal of 542259201 is 102952245.

It is not a de Polignac number, because 542259201 - 213 = 542251009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542259281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893040 + ... + 893646.

It is an arithmetic number, because the mean of its divisors is an integer number (17466624).

Almost surely, 2542259201 is an apocalyptic number.

It is an amenable number.

542259201 is a deficient number, since it is larger than the sum of its proper divisors (296138751).

542259201 is a wasteful number, since it uses less digits than its factorization.

542259201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 542259201 is about 23286.4596063893. The cubic root of 542259201 is about 815.4593373383.

The spelling of 542259201 in words is "five hundred forty-two million, two hundred fifty-nine thousand, two hundred one".

Divisors: 1 3 11 23 33 69 107 121 253 321 363 607 759 1177 1821 2461 2783 3531 6677 7383 8349 12947 13961 20031 27071 38841 41883 64949 73447 81213 153571 194847 220341 297781 460713 714439 893343 1493827 1689281 2143317 4481481 5067843 7858829 16432097 23576487 49296291 180753067 542259201